/*
www-ATLAS of Group Representations.
4b.L3(4) represented as 60 x 60 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,60,[
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"000000000000000000000000000000000000100000000000000000000000",
"130453007608767280311072354012022851472863714318770306420858",
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"000000000000000000000000000000000000000000010000000000000000",
"760653514431736581307542880622505015081181504658550313705648"]);

y:=CambridgeMatrix(1,F,60,[
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"000001000000000000000000000000000000000000000000000000000000",
"022020000000000000000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000000000000000",
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"000000000000000000000000000000000000000000000010000000000000",
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"000000000000000000000000000000000000000000000000010000000000",
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"000000000000010000000000000000000000000000000000000000000000",
"000000000000000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000000000000000010000",
"000000000000000100000000000000000000000000000000000000000000",
"000000000000000000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000000000000000000001",
"074187103607868615755571023011017325201565765418666754375231",
"367784660872241261212046066680404484365481810455855481252176",
"816272625735153054423310731284385601663147073130284856608333",
"884627474385627447274407364058055736736006662815872031603424",
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"000000000000000000100000000000000000000000000000000000000000",
"330570027446230708877338283776324200332200372733804707163071",
"406708380834672613700130065215217655347400824781560632356204",
"415638673383825476516135747585386660488800713322308182458710",
"232418474537363006128442047645427128112144037787046863151007",
"114057067111300283332262706547212341715732523131158484664157",
"651767626581667582125833581446063271535361878485277272773700",
"685526867888331218568373644368278000587456555047617084785268",
"050036175687552476863403733257680703083434830172484880587741",
"617078133245001276684768408463518012355136672365371508708422",
"000000000000000000000001000000000000000000000000000000000000"]);

G<x,y>:=MatrixGroup<60,F|x,y>;
print "Group G is 4b.L3(4) < GL(60,GF(9))";